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Finding the Fourth Proportional to 8,176.28, 12,266.46 and 2,332.94

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Solution

The fourth proportional to 8,176.28, 12,266.46 and 2,332.94 is: 3,499.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.28 : 12,266.46 = 2,332.94 : x
  2. Step 2: Convert to fraction form
    8,176.28/12,266.46 = 2,332.94/x
  3. Step 3: Cross multiply
    8,176.28x = 12,266.46 × 2,332.94
  4. Step 4: Simplify right side
    8,176.28x = 28,616,915.19
  5. Step 5: Solve for x
    x = 28,616,915.19/8,176.28
  6. Step 6: Final answer
    x = 3,499.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.